If R is set of all real numbers, what do cartesian products R × R and R × R × R represent?

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2.Relations and Functions

easy

If $R$ is the set of all real numbers, what do the cartesian products $R \times R$ and $R \times R \times R$ represent?

Option A

Option B

Option C

Option D

Solution

The Cartesian product $R \times R$ represents the set $R \times R =\{(x, y): x, y \in R \}$ which represents the coordinates of all the points in two dimensional space and the cartesian product $R \times R \times R$ represents the set $R \times R \times R =\{(x, y, z): x, y, z \in R \}$ which represents the coordinates of all the points in three-dimensional space.

Standard 11

Mathematics

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medium

If $R$ is the set of all real numbers, what do the cartesian products $R \times R$ and $R \times R \times R$ represent?

Solution

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